The value of \( i^{n}+i^{-n} \), for \( i=\sqrt{-1} \) and \( n \in...
The value of \( i^{n}+i^{-n} \), for \( i=\sqrt{-1} \) and \( n \in I \) is :
\( \mathrm{P} \)
(A) \( \frac{2^{n}}{(1-i)^{2 n}}+\frac{(1+i)^{2 n}}{2^{n}}- \)
(B) \( \frac{(1+i)^{2 n}}{2^{n}}+\frac{(1-i)^{2 n}}{2^{n}} \)
(C) \( \frac{(1+i)^{2 n}}{2^{n}}+\frac{2^{n}}{(1-i)^{2 n}} \)
(D) \( \frac{2^{n}}{(1+i)^{2 n}}+\frac{2^{n}}{(1-i)^{2 n}} \)
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